32449364640 has 672 divisors, whose sum is σ = 143341301376. Its totient is φ = 6740858880.

The previous prime is 32449364609. The next prime is 32449364657. The reversal of 32449364640 is 4646394423.

It is a happy number.

32449364640 is a `hidden beast` number, since 3 + 244 + 9 + 364 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×32449364640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8979474 + ... + 8983086.

It is an arithmetic number, because the mean of its divisors is an integer number (213305508).

Almost surely, 2^32449364640 is an apocalyptic number.

32449364640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32449364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71670650688).

32449364640 is an abundant number, since it is smaller than the sum of its proper divisors (110891936736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32449364640 is a wasteful number, since it uses less digits than its factorization.

32449364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 32449364640 in words is "thirty-two billion, four hundred forty-nine million, three hundred sixty-four thousand, six hundred forty".